I'd like to make YouTube videos that clarify commonly confusing topics such as why keys are built on fifths - the reason being that, musically speaking, C & G are closer than C & D.
The question is - does the explanation that follows reasonably explain how notes in a scale don't increment in the same way as counting numbers - that the next note 'up' from C (in a C-major scale) is G, not D.
And if this explanation doesn't what words would you prefer to describe the G, the 'next note up' the scale?
=== Begin: Explanation ===============
Learning music can be hard because music looks like it's numbers, except with letters, but you can't add or subtract music like numbers.
For example with numbers we count 1,2,3, etc. We don't count 1,3,8,5 because 2 is numerically closest to 1. In other words we count numbers by the smallest increment, which for basic (integer) numbers is to counting by ones.
But it's not the same for scale notes because we're talking about sound and not physical objects you can count 1,2,3,etc.
A sound like a hand clap can be a massive combination of different frequency waves.
But a note in a scale is a 'pure' sound because it's just one frequency. For example middle C has a frequency of 262Hz.
(Hz is Hertz. Hertz is vibrations per second. If you play a middle C note through a speaker that speaker cone is literally shaking at 262 times per second... which means the distance that speaker cone flexes is super small.)
This means you can't count sounds as you do with numbers. The frequency of a "C" added to the frequency of a "D" doesn't give you the frequency of an "E" note.
Instead, to 'count musically', the next note up the scale, a C-scale of C,D,E,F,G,A,B for this example, is actually G.
The reason is that the musical distances between the scale notes are selected based on how similar/dissimilar they are to each other. The G note has a frequency that is a closer multiple to C than the D note.
Play a C note and then a G note. Do you hear how they sound more similar than a C then D note?
Even though the G note is five letters away it sounds 'closer', more similar, to the C note than a D note. Sound-wise, musically-wise, if the C note is the number one then the G is more like the number 2 than the D note even though D is literally the very next musical letter upward.
=== End: Explanation ===============
* ADENDUM *
What I figured out from discussion with User45266 is that I have to explain relative and absolute before I introduce the musical aspect.
Specifically it's absolute pitch, the frequency ... C,D,E, etc. vs the relative pitch, the multiple of the frequency between two pitches - the interval. Intervals vs. pitches seems to be the core distinction.
Thank you User45266.